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Answers to Homework. 1) 14.4 2) 73.8 3) 16.7 4) 26.0 5) 9.9 6) 7.1 7) 10.3 8) 5.6 9) 37 10) 34 11) 23 12) 38 13) 53 14) 51 15) 46 16) 27 17) x = 101.8, y = 63.6 18) x = 26, y = 64 19) x = 27.4, y = 12.2 20) x = 11.8, y = 10.7 21) x = 13.7, y = 78 22) x = 7.1, y = 44
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Answers to Homework 1) 14.4 2) 73.8 3) 16.7 4) 26.0 5) 9.9 6) 7.1 7) 10.3 8) 5.6 9) 37 10) 34 11) 23 12) 38 13) 53 14) 51 15) 46 16) 27 17) x = 101.8, y = 63.6 18) x = 26, y = 64 19) x = 27.4, y = 12.2 20) x = 11.8, y = 10.7 21) x = 13.7, y = 78 22) x = 7.1, y = 44 23) x = 88, y = 46 24) x = 18, y = 9.3
Equal 8-7 Applications of Right Triangle Trigonometry Reciprocal Answers to Warm Up
Example • When the sun’s angle of elevation is 38°, a building casts a shadow of 45m. How tall is the building? x 38 45
Example • From the top of a lighthouse 20m tall, a sailboat is sighted having an angle of depression of 4°. How far from the lighthouse is the boat? x 4 20
TOO: Draw a picture and solve! • Two buildings on opposite sides of the street are 40m apart. From the top of the taller building the angle of depression to the top of the shorter building is 13°. How much shorter is the shorter building than the taller building? • A road 1.6km long rises 400m. What is the angle of elevation? (Hint: 1000m = 1km) 9m 14°
Secret Compartments Solve 20 x 10 x For 10 20 RIGHT TRIANGLES x: 10 x 20 45 Fill in 45 30 the sides 60
Secret Compartments x 45 45-45-90 x x√2 45 x√3 30 30-60-90 x 2x 60
Secret Compartments Write four common triples CHAPTER 8 and a Your Name and Period (x2) multiple it’s not a common triple? What do you use if
Secret Compartments 3,4,5 6,8,10 5,12,13 10,24,26 16,30,34 8,15,17 7,24,25 14,48,50 Pythagorean Theorem c2 = a2 + b2
Homework • Page 318 #1-6 • Page 304 #1-7 (Self Test)